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SphericalBesselJ






Mathematica Notation

Traditional Notation









Bessel-Type Functions > SphericalBesselJ[nu,z] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/03.21.20.0019.01









  


  










Input Form





D[SphericalBesselJ[\[Nu], z], {z, n}] == 2^(-1 + n - 2 \[Nu]) Pi z^(-n + \[Nu]) Gamma[1 + \[Nu]] HypergeometricPFQRegularized[ {(1 + \[Nu])/2, (2 + \[Nu])/2}, {(1/2) (1 - n + \[Nu]), (1/2) (2 - n + \[Nu]), 3/2 + \[Nu]}, -(z^2/4)] /; Element[n, Integers] && n >= 0










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02





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